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Finding the Third Proportional to 3,664 and 6,824

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Solution

The third proportional to 3,664 and 6,824 is: 12,709.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664 : 6,824 = 6,824 : x
  2. Step 2: Convert to fraction form
    3,664/6,824 = 6,824/x
  3. Step 3: Cross multiply
    3,664x = 6,824 × 6,824
  4. Step 4: Simplify right side
    3,664x = 46,566,976
  5. Step 5: Solve for x
    x = 46,566,976/3,664
  6. Step 6: Final answer
    x = 12,709.33

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.